论文标题
对对称性分析和一维最佳系统，用于广义2+1 kadomtsev-petviashvili方程
Lie symmetry analysis and one-dimensional optimal system for the generalized 2+1 Kadomtsev-Petviashvili equation
论文作者
论文摘要
我们通过确定后者依赖的所有可能的f（u）函数形式来确定所有可能的f（u）函数形式，对2+1个非线性概括kadomtsev-petviashvili方程进行了分类。对于每种情况，都会得出一维最佳系统；一项必要的分析，以找到简化方程的所有可能相似性转换。我们通过构建静态和旅行波相似性解决方案来证明我们的结果。特别是后一种溶液满足二阶非线性普通微分方程，该方程可以通过二次解决。
We classify the Lie point symmetries for the 2+1 nonlinear generalized Kadomtsev-Petviashvili equation by determine all the possible f(u) functional forms where the latter depends. For each case the one-dimensional optimal system is derived; a necessary analysis to find all the possible similarity transformations which simplify the equation. We demonstrate our results by constructing static and travel-wave similarity solutions. In particular the latter solutions satisfy a second-order nonlinear ordinary differential equation which can be solved by quadratures.
